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Finding the Fourth Proportional to 653,772.40, 980,639.08 and 180,486.64

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Solution

The fourth proportional to 653,772.40, 980,639.08 and 180,486.64 is: 270,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,772.40 : 980,639.08 = 180,486.64 : x
  2. Step 2: Convert to fraction form
    653,772.40/980,639.08 = 180,486.64/x
  3. Step 3: Cross multiply
    653,772.40x = 980,639.08 × 180,486.64
  4. Step 4: Simplify right side
    653,772.40x = 176,992,252,601.89
  5. Step 5: Solve for x
    x = 176,992,252,601.89/653,772.40
  6. Step 6: Final answer
    x = 270,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.